Mathematics Permutations, Combinations and Probability MCQS Online Preparation Sample Paper Questions with Answer
Mathematics Permutations, Combinations, and Probability MCQs evaluate understanding of counting principles and likelihood calculations. These questions, commonly featured in exams such as the ECAT (Engineering College Admission Test), cover topics like permutations, combinations, and basic probability concepts. Online platforms like Nokryan.com provide extensive preparation materials, including sample papers, practice questions, and detailed answers. These resources aid students in comprehensively grasping Permutations, Combinations, and Probability, enabling them to tackle related problems with confidence and proficiency in the mathematics section of the ECAT exam.
1. 1/(n+2)(n+1)n =
- (n-1)!/(n+2)!
correct - (n+2)!
- (n+2)!/ (n-1)!
- n!
2. The letters of the JUNE taken all at a time can be written in
- 6 Ways
- 24 Wayscorrect
- 2 Ways
- 120 Ways
3. 10.9/2.1 =
- 10!
- 1/10!
- 10!/2!8!
correct - 2!8!
4. The factorial of a positive integer n is n! =
- (n+1)n(n-1)(n-3)…3.2.1
- (n-1)(n-2)(n-3) … 3.2.1
- n(n-1)(n-2)(n-3) … 3.2.1
correct - (n-2)(n-3) … 3.2.1
5. For a negative integer n , the factorial n!
- Does not exist
correct - Is 0
- Is unique
- Is 1
6. 1/20.19.18.17 =
- 1/16!
- 20!/16!
- 16!/20!
correct - 20!
7. The factorial of a positive integer n is
- n! = n (n – 1) !
correct - n! = n (n – 1)! (n – 2)!
- n! = n (n – 2)!
- n! = n (n + 2)!
8. An arrangement of a finite number of objects taken some or all a time is called their
- Permutation
correct - Combination
- A.P
- Sequence
9. (n+2)(n+1)n=
- (n-1)!/(n+2)!
- n!
- (n+2)!/ (n-1)!correct
(n+2)!
10. (n+1)n(n-1)/3.2.1 =
- 3!.(n-2)/(n+1)!
- (n -2)!
- (n+1)/3!.(n-2)
correct - (n+1)!
11. If n is any position integer, then
- (n+1)!=(n+1)(n-1)!
- n! = n (n + 1)!
- (n+1)! = (n+1)n!
correct - n! = n (n – 2)!
12. n(n-1)(n-2)(n-3)…(n-r+1)=
- n!/r!
- (n-2)!/3!n!
- n! r!
- n!/(n-r)!
correct
13. 1/12.11.10 =
- 1/12!
- 9!/12!
correct - 12!
- 12!/9!
14. n different objects can be arranged taken all at a time in
- (n + 1)! Ways
- n ! Ways
correct - (2n)! Ways
- (n – 1)! Ways
15. 8.7.6/3.2.1 =
- 3!.5!/8!
- 10!/2!8!
- 10!
- 8!/3!.5!
correct
16. 52.51.50.49/4.3.2.1 =
- 10!/2!8!
- 4!.48!/52!
- 52!/4!48!correct
- 52!
17. The letters of the WORD taken all at a time can be written in
- 24 Wayscorrect
- 8 Ways
- 4 Ways
- 12 Ways
18. 9.8.7.6 =
- 1
- 9!/5!
correct - 5!/9!
- 3!
19. 0! =
- 0
- 2
- 1
correct - -1
20. 6!/8! =
- 56
- 65
- 1/65
- 1/56
correct
21. The letters of the LAHORE taken all at a time can be written in
- 6 Ways
- 720 Wayscorrect
- 2 Ways
- 24 Ways
22. 6.5.4=
- 3!/6!
- 6 !/3 !
correct - 6!
- 1/6!
23. The letters of the LINE taken all at a time can be written in
- 6 Ways
- 120 Ways
- 24 Wayscorrect
- 2 Ways
24. n(n-1)/3.2.1 =
- 3!(n-2)!/n!
- n!
- (n-2)!/3!n!
- n!/3!(n-2)!
correct
25. 5! =
- 120
correct - 5
- 140
- 0